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2066145620 = 2257111638231
BaseRepresentation
bin111101100100110…
…1110000101010100
312022222211001221212
41323021232011110
513212413124440
6541004400552
7102125643110
oct17311560524
95288731855
102066145620
11970315870
12497b46158
1326c096696
14158596740
15c15cb465
hex7b26e154

2066145620 has 96 divisors (see below), whose sum is σ = 5443393536. Its totient is φ = 639964800.

The previous prime is 2066145617. The next prime is 2066145649. The reversal of 2066145620 is 265416602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246905 + ... + 255135.

It is an arithmetic number, because the mean of its divisors is an integer number (56702016).

Almost surely, 22066145620 is an apocalyptic number.

2066145620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066145620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721696768).

2066145620 is an abundant number, since it is smaller than the sum of its proper divisors (3377247916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2066145620 is a wasteful number, since it uses less digits than its factorization.

2066145620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8421 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2066145620 is about 45454.8745460814. The cubic root of 2066145620 is about 1273.6603887158.

The spelling of 2066145620 in words is "two billion, sixty-six million, one hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 163 220 308 326 385 652 770 815 1141 1540 1630 1793 2282 3260 3586 4564 5705 7172 8231 8965 11410 12551 16462 17930 22820 25102 32924 35860 41155 50204 57617 62755 82310 90541 115234 125510 164620 181082 230468 251020 288085 362164 452705 576170 633787 905410 1152340 1267574 1341653 1810820 2535148 2683306 3168935 5366612 6337870 6708265 9391571 12675740 13416530 14758183 18783142 26833060 29516366 37566284 46957855 59032732 73790915 93915710 103307281 147581830 187831420 206614562 295163660 413229124 516536405 1033072810 2066145620